• Title/Summary/Keyword: Mohr s failure envelope

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Estimation to Shear Strength of Basalt using Lade's Three-dimensional Failure Criterion (Lade의 3차원 파괴규준을 이용한 현무암의 전단강도 산정)

  • Nam, Jung-Man;Yun, Jung-Mann;Song, Young-Suk
    • Journal of the Korean Geosynthetics Society
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    • v.9 no.3
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    • pp.19-27
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    • 2010
  • In this study, a series of triaxial tests to Jeju basalt were carried out and then shear strength parameters of rock were estimated by the Lade's three-dimensional failure criterion. Also, the characteristics of shear strength parameters and failure plane which were estimated by the three-dimensional failure criterion were analyzed and this failure criterion was compared with the Mohr-Coulomb failure criterion. The variables of ${\eta}_1$ and m are derived from the relationship between ($I_1^3/I_3-27$) and ($P_a/I_1$) during the failure period using the Lade's three-dimensional failure criterion. The failure plane size of Tracy-basalt has the largest plane and that of Scoria has the smallest plane among other octahedral planes which is the three-dimensional failure plane. Also, the failure plane of Tracy-basalt is formed as a triangle and that of Scoria is formed as a circle among other octahedral planes. As the result of comparison with the triaxial test results and the Lade's failure envelope and the Mohr-Coulomb failure envelope, the Lade's failure envelope matched up under higher stress, while the Mohr-Coulomb failure envelope matched up under lower stress. Also, the Lade's three-dimensional failure plane is larger than the Mohr-Coulomb three-dimensional failure plane. It means that the shear strength parameters estimated by the Lade's failure criterion is larger than that of the Mohr-Coulomb failure criterion.

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Derivation of Mohr Envelope of Hoek-Brown Failure Criterion Using Non-Dimensional Stress Transformation (응력무차원화 변환을 이용한 Hoek-Brown 파괴함수의 Mohr 파괴포락선 유도)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.24 no.1
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    • pp.81-88
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    • 2014
  • In the course of performing the stability analysis of rock structures, there are times when the strength of the Hoek-Brown rock mass needs to be understood in terms of the internal friction angle and cohesion. In this case, the original Hoek-Brown criteion, giving the relationship between ${\sigma}_1$ and ${\sigma}_3$ at failure, have to be transformed to the corresponding Mohr envelope. A new approach to derive the Mohr envelope of the Hoek-Brown criterion is suggested in this study. The new method is based on the Londe's transformation making the stress components dimensionless. The correctness of the derivation leading to the new ${\tau}-{\sigma}$ relationship is confirmed by comparing the calculation results with the Bray's solution through a verification example.

Evaluation Method for Non-linear Shear Strength of Gravel Materials (자갈질 재료의 비선형적 전단강도 특성 평가법)

  • Shin, Dong-Hoon;Cho, Seong-Eun;Lim, Eun-Sang;Park, Han-Gyu
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.288-298
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    • 2009
  • It is well known that the peak strength envelope of geomaterials with no cohesion, such as sand, gravel and rockfill, exhibits significant curvature over a range of stresses. In a practical design of slope, however, the linear Mohr-Coulomb's failure envelope is used as a failure criterion and consequently gives inaccurate safety factors, especially for some ranges of small normal stresses on shallow failure surfaces. Necessity of a nonlinear shear strength envelope in slope stability analysis is on this point. Hence, this study describes how to evaluate nonlinear shear strength of gravel fill materials using the results of large triaxial tests under consolidated-drained condition, and compares the safety factors from slope stability analyses for a homogeneous gravel fill or rockfill embankment incorporating the non-linearity of strength, so as to show its effects on safety factors.

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Investigating the effects of confining pressure on graphite material failure modes and strength criteria

  • Yi, Yanan;Liu, Guangyan;Xing, Tongzhen;Lin, Guang;Sun, Libin;Shi, Li;Ma, Shaopeng
    • Nuclear Engineering and Technology
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    • v.52 no.7
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    • pp.1571-1578
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    • 2020
  • As a critical material in very/high-temperature gas-cooled reactors, graphite material directly affects the safety of the reactor core structures. Owing to the complex structures of graphite material in reactors, the material typically undergoes complex stress states. It is, therefore, necessary to study its mechanical properties, failure modes, and strength criteria under complex stress states so as to provide guidance for the core structure design. In this study, compressive failure tests were performed for graphite material under the condition of different confining pressures, and the effects of confining pressure on the triaxial compressive strength and Young's modulus of graphite material were studied. More specifically, graphite material based on the fracture surfaces and fracture angles, the graphite specimens were found to exhibit four types of failure modes, i.e., tension failure, shear-tension failure, tension-shear failure and shear failure, with increasing confining pressure. In addition, the Mohr strength envelope of the graphite material was obtained, and different strength criteria were compared. It showed that the parabolic Mohr-Coulomb criterion is more suitable for the strength evaluation for the graphite material.

Prediction of Strength for Transversely Isotopic Rock Based on Critical Plane Approach (임계면법을 이용한 횡등방성 암석의 강도 예측)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.17 no.2 s.67
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    • pp.119-127
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    • 2007
  • Based on the critical plane approach, a methodology far predicting the anisotropic strength ot transversely isotropic rock is Proposed. It is assumed that the rock failure is governed by Hoek-Brown failure criterion. In order to establish an anisotropic failure function, Mohr envelope equivalent to the original Hoek-Brown criterion is used and the strength parameters m, s are expressed as scalar functions of orientation. The conjugate gradient method, which is one of the robust optimization techniques, is applied to the failure function for searching the orientation giving the maximum value of the anisotropic function. While most of the existing anisotropic strength models can be applied only when the stress condition is the same as that of conventional triaxial compression test, the proposed model can be applied to the general 3-dimensional stress conditions. Through the simulation of triaxial compression tests for transversely isotropic rock sample, the validity of the proposed method is investigated by comparing the predicted triaxial strengths and inclinations of failure plane.

A Study on the Strength Characteristics of the Ground Contaminated with the Industrial Oil (산업용 기름으로 오염된 지반의 강도 특성에 관한 연구)

  • 조태룡;이영생
    • Journal of the Korean Geotechnical Society
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    • v.16 no.2
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    • pp.125-134
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    • 2000
  • 지반이 산업용 기름으로 오염될 때 지반의 강도변화 특성을 연구하기 위하여 모래와 실트질 모래 및 카오리나이트를 대상으로 함수비아 함유비를 변화시키며 다짐실험, 투수실험, 비배수상태에서 삼축압축실험을 실시하였다. 실험결과에 의하면 밀도가 같은 모래의 경우는 기름을 혼합하였을 경우가 물을 혼합하였을 경우에 비해 약 7%정도 전단 강도가 떨어지고 실트질 모래와 카오리나이트 경우는 기름을 혼합하였을 경우가 물을 혼합하였을 경우에 비해 점토입자와 기름의 화학적, 물리학적인 상호 작용으로 5~15%정도 강도가 증가하는 현상을 보였다. 일반적으로 산업용 기름 유출에 따라 토양오염 및 수질오염으로 동.식물에 큰 영향을 주고 있으나 토질역학적 거동은 초기 상태 및 모래에서는 전단 강도가 감소하였으나 점성토의 경우는 기름 유출 또는 유입에 따라 응집성, 부착성이 생겨 강도증가 현상을 가져와 큰 문제점이 없는 것으로 판단된다.

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An Evaluation of Shear Strength Parameters$(c,\varphi)$ for Weathering Decomposed Granite Soil (화강풍화토의 전단정수$(c,\varphi)$ 평가)

  • 이문수;이광찬
    • Journal of the Korean Geotechnical Society
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    • v.15 no.2
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    • pp.181-194
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    • 1999
  • Both the chemical components and the physical and mechanical properties of the compacted and undisturbed weathered granite soils were estimated to investigate the influences of the degree of weathering and saturation on the shear strength. The weathered granite soils used in this study were taken from six different sites in Korea. The results showed that the shear strength of weathered granite soil decreased with increasing the degree of weathering and saturation. Under the normal stresses less that 40kPa, the shape of Mohr-Coulomb failure envelope followed curved or hyperbolic relationship and a half of cohesion value obtained by the common shear test was observed. Using the Sueoka's method, the values of CWI were ranged from 21.5 to 31.26 which can be characterized as a completely weathered granite soil. Large decrease in shear strength and remarkable variation in dilatancy were observed in saturated granite soil compared to unsaturated soil. It was also found that the shear strength of undisturbed weathered granite soil of Pungam site can be expressed approximately by the equation of ${(\tau)_{sat}= 1.0(\tau)_{unsat}-12.48}$ and this equation can be extended to the other sites considered in this study.

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